Nonlinear non-local elliptic equation modelling electrostatic actuation

Research output: Contribution to journalArticle

Abstract

The nonlinear non-local elliptic equation governing the deflection of charged plates in electrostatic actuators is studied under the pinned and the clamped boundary conditions. Results concerning the existence, construction and approximation, and behaviour of classical and singular solutions with respect to the variation of physical parameters of the equation in various situations are presented.

Original languageEnglish (US)
Pages (from-to)1323-1337
Number of pages15
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume463
Issue number2081
DOIs
StatePublished - May 8 2007

Fingerprint

Electrostatic actuators
Nonlocal Equations
Singular Solutions
Classical Solution
actuation
Deflection
Electrostatics
Elliptic Equations
Actuator
Boundary conditions
electrostatics
Approximation
Modeling
deflection
actuators
boundary conditions
approximation

Keywords

  • Electrostatic actuation
  • Nonlinear methods
  • Singularities

ASJC Scopus subject areas

  • General

Cite this

@article{41e5972035df4ed0a3da72ca5073e17b,
title = "Nonlinear non-local elliptic equation modelling electrostatic actuation",
abstract = "The nonlinear non-local elliptic equation governing the deflection of charged plates in electrostatic actuators is studied under the pinned and the clamped boundary conditions. Results concerning the existence, construction and approximation, and behaviour of classical and singular solutions with respect to the variation of physical parameters of the equation in various situations are presented.",
keywords = "Electrostatic actuation, Nonlinear methods, Singularities",
author = "Fanghua Lin and Yisong Yang",
year = "2007",
month = "5",
day = "8",
doi = "10.1098/rspa.2007.1816",
language = "English (US)",
volume = "463",
pages = "1323--1337",
journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences",
issn = "0080-4630",
publisher = "Royal Society of London",
number = "2081",

}

TY - JOUR

T1 - Nonlinear non-local elliptic equation modelling electrostatic actuation

AU - Lin, Fanghua

AU - Yang, Yisong

PY - 2007/5/8

Y1 - 2007/5/8

N2 - The nonlinear non-local elliptic equation governing the deflection of charged plates in electrostatic actuators is studied under the pinned and the clamped boundary conditions. Results concerning the existence, construction and approximation, and behaviour of classical and singular solutions with respect to the variation of physical parameters of the equation in various situations are presented.

AB - The nonlinear non-local elliptic equation governing the deflection of charged plates in electrostatic actuators is studied under the pinned and the clamped boundary conditions. Results concerning the existence, construction and approximation, and behaviour of classical and singular solutions with respect to the variation of physical parameters of the equation in various situations are presented.

KW - Electrostatic actuation

KW - Nonlinear methods

KW - Singularities

UR - http://www.scopus.com/inward/record.url?scp=36348931123&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36348931123&partnerID=8YFLogxK

U2 - 10.1098/rspa.2007.1816

DO - 10.1098/rspa.2007.1816

M3 - Article

VL - 463

SP - 1323

EP - 1337

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

SN - 0080-4630

IS - 2081

ER -